What is the least common multiple of the denominators for the two fractions 1/6 and 5/8?
24 = 4*6 = 3*8
1/3+
To find the least common multiple (LCM) of the denominators for the two fractions 1/6 and 5/8, we need to determine the smallest multiple that is common to both denominators.
First, let's find the multiples of 6: 6, 12, 18, 24, 30, 36, ...
Next, let's find the multiples of 8: 8, 16, 24, 32, 40, 48, ...
The least common multiple (LCM) is the smallest number that appears in both lists. In this case, the number 24 is the smallest multiple that is common to both 6 and 8.
Therefore, the least common multiple of the denominators for the two fractions 1/6 and 5/8 is 24.